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Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method

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References

1993On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems289 cited
2000Efficient path integration methods for nonlinear dynamic systems250 cited
1993Response statistics of nonlinear, compliant offshore structures by the path integral solution method187 cited
1975Approximate Method for Nonlinear Random Vibration147 cited
1997A new path integration procedure based on Gauss-Legendre scheme137 cited
2002Approximate solution of the Fokker–Planck–Kolmogorov equation104 cited
2008Path integral solution for non-linear system enforced by Poisson White Noise85 cited

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2019Non-stationary response of MDOF dynamical systems under combined Gaussian and Poisson white noises by the generalized cell mapping method38 cited
2022Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method35 cited
2015Efficient solution of the first passage problem by Path Integration for normal and Poissonian white noise35 cited

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2025First excursion probability of dynamical systems: A review on computational methods32 cited

2022Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration32 cited

2013Stochastic joint time–frequency response analysis of nonlinear structural systems28 cited

2018The Stochastic Response of a Class of Impact Systems Calculated by a New Strategy Based on Generalized Cell Mapping Method25 cited

2016Ideal and physical barrier problems for non-linear systems driven by normal and Poissonian white noise via path integral method25 cited

2024Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise22 cited

2021Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts21 cited

2015Linear Random Vibration of Structural Systems with Singular Matrices21 cited

2019Path Integral approach via Laplace’s method of integration for nonstationary response of nonlinear systems20 cited

2022Stochastic dynamic analysis of nonlinear MDOF systems under combined Gaussian and Poisson noise excitation based on DPIM19 cited